148814400 has 336 divisors, whose sum is σ = 576502784. Its totient is φ = 32901120.

The previous prime is 148814381. The next prime is 148814411. The reversal of 148814400 is 4418841.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1444749 + ... + 1444851.

Almost surely, 2^148814400 is an apocalyptic number.

148814400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288251392).

148814400 is an abundant number, since it is smaller than the sum of its proper divisors (427688384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148814400 is a wasteful number, since it uses less digits than its factorization.

148814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 148814400 is about 12198.9507745543. The cubic root of 148814400 is about 529.9257045496.

The spelling of 148814400 in words is "one hundred forty-eight million, eight hundred fourteen thousand, four hundred".